ANSWER
\(\begin{equation*} 9.5\text{ m/s} \end{equation*}\)EXPLANATION
We want to calculate the average speed for the 100 meters race.
To do this, divide the distance traveled in the race by the time taken to complete the race:
\(\begin{gathered} s=\frac{100}{10.49} \\ \\ s=9.5\text{ m/s} \end{gathered}\)That is the average speed for the 100 meters race.
The equation for a travelling wave is y = 4.6 Sin (3t-8x) Find: (a) Its frequency (b) Its wave length (c) Speed of the wave.
Explanation:
Explanation:
Y = 5 Sin27(.2x-3t)
= 5 Sin(5.4x - 81 t)
Amplitude = 5 m
Angular frequency w = 81
frequency = w/ 2π = 81/(2 x 3.14)
-12.89
Wave length λ = 2π/ k,
k = 5.4
λ = 2π/ 5.4
= 1.163 m
Phase velocity=w / k
= 81/5.4
15 m/s.
The wave is travelling in + ve x - direction.
hope help
What is MOST likely to be TRUE about asynchronous communication?
It is rarely used in businesses in today's society.
It offers many opportunities to ask clarifying questions in real time.
It is helpful when employees work across multiple time zones.
It only works when all employees work in the same time zone.
The most likely true statement about asynchronous communication is that it is helpful when employees work across multiple time zones.
Asynchronous communication refers to a mode of communication where participants do not need to be present or engaged simultaneously. Instead, they can send and receive messages at their convenience.In today's globalized society, businesses often have teams distributed across different geographical locations and time zones. Asynchronous communication becomes invaluable in such scenarios as it allows team members to collaborate effectively without the constraints of real-time interactions. By utilizing tools like email, project management platforms, or messaging apps, individuals can communicate and exchange information regardless of their location or the time differences.
Asynchronous communication also offers benefits such as flexibility and increased productivity. Team members have the freedom to work at their own pace and prioritize tasks accordingly. It provides opportunities for thoughtful and well-crafted responses, as individuals can take time to gather information or reflect on complex matters before replying.While asynchronous communication is advantageous for teams operating across multiple time zones, it does not rely on all employees working in the same time zone. In fact, it is designed to accommodate diverse schedules and allow individuals to collaborate efficiently despite their varying work hours.
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Andres buys a new scooter. He goes 8 Km north from the beach. He then
travels 5 Km to the east. Then chases a friend 8 Km north. What distance
did he cover?
What was Andres's displacement?
Answer:
Distance: 21km
Displacement: ~16.76km
a 12v battery delivers 3.5A at 10.95. Determine the internal Resistence of cell.
According to Ohms law, the resistance in a circuit is the ratio of its voltage to the current across the circuit. The resistance of the circuit with 12 v and 3.5 A current is 3.4 ohms.
What is Ohm's law?Ohm's law is one of the fundamental law in physics. It states that, the voltage over a circuit is the product of the resistance and current through the circuit.
hence, V = IR
Therefore, the voltage through a circuit is directly proportional to the current and resistance through the circuit. As the resistance increases, current through the circuit decreases.
The voltage in the cell = 12 V
current I = 3.5 A.
then internal resistance R = V/I
R = 12/3.5 = 3.4 Ω
Therefore, the resistance in the cell is 3.4 ohms.
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In a class experiment to determine information about free-fall acceleration, a watermelon and a pumpkin are each set to fall from the back of the stands at your football stadium.
a. If the watermelon and the pumpkin are both dropped at the same time, which one will hit the ground first?
b. If the watermelon is thrown downward with an initial speed of 10 m/s and the pumpkin is dropped, which one will hit the ground first? Show calculation to support your answer.
c. If it takes the watermelon 1 second to reach the ground when it is thrown downward at 10 m/s, how tall are the stands?
d. How long does it take the pumpkin to reach the ground if it is dropped from this height you calculated in part c?
Answer:
a) They both hit the ground at the same time
b) Watermelon will hit first, since its speed is faster than the pumpkin speed
c) h = 29,6 m
d)t = 3,02 sec
Explanation:
Equations for fall free movement are:
vf = v₀ + g*t when v₀ = 0 (dropped case) vf = g*t
h = v₀*t + 1/2*g*t²
a) For both ( watermelon and pumpkin) the equation of speed is the same:
vf = g*t² Both will have the same speed second through second
They both hit the ground at the same time
b) Now is watermelon is thrown with v₀ = 10 m/s
Watermelon will hit first since its speed is faster than the pumpkin speed
vf(watermelon) = 10 + g*t
vf₂ (pumpkin) = g*t
c) h = v₀*t + (1/2)*g*t²
h = (10)*1 + (1/2)*9,8*1
h = 10 + 19,6
h = 29,6 m
d) h = g*t
t = 29,6/9,8
t = 3,02 sec
Name 1. Consider positive and negative charges of a copper wire all moving horizontally within the time interval 10 us. What can you say about the magnitude and direction of the current?
When positive and negative charges of a copper wire are moving horizontally within a time interval of 10 microseconds, the magnitude of the current is zero, and the direction of the current is opposite to the direction of charge movement.
In the given scenario, if positive and negative charges of a copper wire are moving horizontally within a time interval of 10 microseconds (10 μs), we can infer the following about the magnitude and direction of the current:
1. Magnitude of the Current: The magnitude of the current is determined by the total charge passing through a given point in the wire per unit time. Since both positive and negative charges are moving, the total charge passing through a point will be the sum of the magnitudes of the charges. If the number of positive and negative charges is equal, the magnitudes of their charges will also be equal. Therefore, the total charge passing through the point will be the sum of equal positive and negative charges, resulting in a net charge of zero. In this case, the magnitude of the current will be zero.
2. Direction of the Current: The direction of the current is determined by the flow of positive charges. In a copper wire, the positive charges are not free to move. Instead, it is the negatively charged electrons that are free to move. Due to conventional current flow convention, the direction of the current is considered opposite to the direction of the electron flow. Therefore, even though both positive and negative charges are moving horizontally, the direction of the current will be in the opposite direction to the movement of the charges.
In summary, in the given scenario, where positive and negative charges of a copper wire are moving horizontally within a time interval of 10 microseconds, the magnitude of the current is zero, and the direction of the current is opposite to the direction of the charge movement.
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You apply a force of 600 N to push a grocery cart and it accelerates at a rate of 1 m/s/s. What mass does the cart have?
using the second neutons law
600=mx1
=600kg
Two bodies of specific heats S1 and S2 having the same heat capacities are combined to form a single composite body. What is the specific heat of the composite body?
Here is your answer,
As the heat capacities are equal , so m₁S₁ = m₂S₂
Let S be the specific heat of the composite body. Then,
(m₁ + m₂) S = m₁S₁ + m₂S₂
= m₁S₁ + m₁S₁ = 2 m₁S₁
S = 2 m₁S₁/m₁+ m₂ = 2 m₁S₁/ m₁ + m₁ + m₁ S₁/S₂
= 2 S₁S₂/S₁ + S₂
\( = > \frac { 2S_{1}S_{2} }{ S_{1} + S_{2}} \)
What is the mass of a person that has 4336500 joules of potential energy standing at the top of Mt. Everest at 8850 meters?
The mass of the person standing at the top of Mt. Everest with 4336500 joules of potential energy is approximately 49.1 kilograms.
To find the mass of the person standing at the top of Mt. Everest, we can use the formula for potential energy:
Potential Energy (PE) = mass (m) x acceleration due to gravity (g) x height (h)
We know that the potential energy (PE) is 4336500 joules, the height (h) is 8850 meters, and the acceleration due to gravity (g) is 9.8 m/s^2. So, we can rearrange the formula to solve for the mass (m):
m = PE / (g x h)
Substituting the given values, we get:
m = 4336500 J / (9.8 m/s^2 x 8850 m)
m ≈ 49.1 kg
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19. In a 16 Personalities Test, which
factor is opposite of judging?
O A. Prospecting
B. Turbulent
C. Intuition
O D. Feeling
Personality test is aimed at being able to decipher the nature of human personality. The opposite of judging in a personality test is prospecting.
What is a personality test?The term personality test is aimed at being able to decipher the nature of human personality through a Personalities Test.
In this personality test different personality types have their respective opposites. The opposite of judging in a personality test is prospecting.
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Answer:
prospecting
Explanation:
Rain drops are formed when water vapor _____.
condenses on grass
evaporates
condenses on dust
freezes
Answer:
Condenses on dust
Explanation:
Pls brainiest
Answer:
condenses on dust
Explanation:
Cs-124 has a half-life of 30.8 s
A) If we have 7.5 μg initially, how many Cs nuclei are present?
B) How many nuclei are present 2.6 min later?
A) There are 3.70 x 10¹⁶ Cs nuclei present initially and B) There are 2.27 x 10¹⁵ Cs nuclei present 2.6 min later.
A) To solve this problem, we can use the following equation,
\(N = N'2^{\frac{-t}{T_{1/2}}}\)), number of Cs nuclei present is N, initial number of Cs nuclei present is N', elapsed time is t, half-life of Cs-124 is T½. First, we need to convert the initial mass of Cs-124 to the number of nuclei present,
7.5 μg Cs-124(1g/10⁶μg)(6.022x10²³nuclei/1g)
= 4.52 x 10¹⁵ Cs-124 nuclei.
Using the equation above, we can find the number of Cs-124 nuclei present after 0 s,
\(N = 4.52 * 10^{15} * 2^{\frac{-0}{30.8}}}\)
= 4.52 x 10¹⁵ Cs-124 nuclei
Therefore, initially, there are 4.52 x 10¹⁵ Cs-124 nuclei present.
B) After 2.6 min (156 s), we can again use the same radioactivity equation to find the number of Cs-124 nuclei present,
\(N = 4.52 * 10^{15} * 2^{\frac{-156}{30.8}}}\)
N = 1.60 x 10¹⁴ Cs-124 nuclei
Therefore, 2.6 min later, there are 1.60 x 10¹⁴ Cs-124 nuclei present.
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2. You are kite-surfing and your kite is pulling
you upwards at an angle of 60° with respect to
the ocean, with a force of 1200 Newtons. What
component of that force is up? How much of it
is sideways, parallel to the water?
The upward component of that force is 1039.23 N.
The parallel component of that force is 600N.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body.
The magnitude of force = 1200 Newtons.
Angle with respect to the ocean = 60°.
The upward component of that force is = F sin60° = 1200×sin60° N = 1039.23 N.
The parallel component of that force is = F cos60° = 1200× cos60° N = 600N.
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If a proton and an electron are released when they are 7.00×10−10 m apart (typical atomic distances), find the initial acceleration of each of them. aelectron = nothing m/s2
Answer:
The acceleration of the proton is 2.823 x 10¹⁷ m/s²
The acceleration of the electron is 5.175 x 10²⁰ m/s²
Explanation:
Given;
distance between the electron and proton, r = 7 x 10⁻¹⁰ m
mass of proton, \(m_p\) = 1.67 x 10⁻²⁷ kg
mass of electron, \(m_e\) = 9.11 x 10⁻³¹ kg
The attractive force between the two charges is given by Coulomb's law;
\(F = \frac{k(q_p)(q_e)}{r^2}\)
where;
k is Coulomb's constant = 9 x 10⁹ Nm²/c²
\(F = \frac{k(q_p)(q_e)}{r^2} \\\\F = \frac{(9*10^9)(1.602*10^{-19})(1.602*10^{-19})}{(7*10^{-10})^2} \\\\F = 4.714 *10^{-10} \ N\)
Acceleration of proton is given by;
F = ma
\(F = m_pa_p\\\\a_p = \frac{F}{m_p}\\\\a_p = \frac{4.714*10^{-10}}{1.67*10^{-27}}\\\\a_p = 2.823 *10^{17} \ m/s^2\)
Acceleration of the electron is given by;
\(F = m_ea_e\\\\a_e = \frac{F}{m_e}\\\\a_e = \frac{4.714*10^{-10}}{9.11*10^{-31}}\\\\a_e = 5.175 *10^{20} \ m/s^2\)
Given:
Mass of proton, \(m_p = 1.67\times 10^{-27} \ kg\)Mass of electron, \(m_e = 9.11\times 10^{-31 } \ kg\)Distance between electron & proton, \(r = 7\times 10^{-10} \ m\)By using Coulomb's law, the attractive force will be:
→ \(F = \frac{k(q_p) (q_e)}{r^2}\)
By substituting the values, we get
\(= \frac{(9\times 10^9)(1.602\times 10^{-19}) (1.602\times 10^{-19})}{(7\times 10^{-10})^2}\)
\(= 4.714\times 10^{-10} \ N\)
Now,
The acceleration of proton will be:
→ \(F = ma\)
\(= m_p a_p\)
or,
→ \(a_p = \frac{F}{m_p}\)
\(= \frac{4.714\times 10^{-10}}{1.67\times 10^{-27}}\)
\(= 2.823\times 10^{17} \ m/s^2\)
and,
The acceleration of electron will be:
→ \(F = m_c a_c\)
or,
→ \(a_e = \frac{F}{m_e}\)
\(= \frac{4.714\times 10^{-10}}{9.11\times 10^{-31}}\)
\(= 5.175\times 10^{20} \ m/s^2\)
Thus the above answer is correct.
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What else do we need to know in order to explain how the speaker works?
Here you go...
The speakers provide an enforcement role in the community and the people automatically obey them.
In the community, everyone’s every move is watched all of the time. Community rules are reinforced by constant video surveillance. When a person is seen breaking a rule, the voice over the speaker will remind...
Find the current through a 20ohm resistance, and current through a 40ohm resistance
Explanation:
\(thank \: you\)
How many days are required for a radioactive sample, with a half-life of 5.7 days and an initial activity
of 1.07 × 105 Bq, to decay to an activity of 100 Bq?
It takes approximately 28.3 days for the radioactive sample to decay from an initial activity of 1.07 x 105 Bq to an activity of 100 Bq.
The formula for radioactive decay is \(A = A0 * (1/2)^{(t/t1/2)}\) where: A is the final activity A0 is the initial activity is the time elapsed t1/2 is the half-life of the sample
In this problem, the initial activity A0 is given as 1.07 x 105 Bq and the final activity A is given as 100 Bq.
The half-life of the sample is given as 5.7 days.
Substituting these values into the formula, we get: \(100 = 1.07 \times 105 * (1/2)^{(t/5.7)}\)
Dividing both sides by 1.07 x 105, we get:
\(0.000934579 = (1/2)^{(t/5.7)}\)
Taking the natural logarithm of both sides, we get:\(-7.072737 = (t/5.7) * ln(1/2)\)
Dividing both sides by ln(1/2), we get:
\(t = -7.072737 \div ln(1/2) * 5.7t \approx 28.3\) days
Therefore, it takes approximately 28.3 days for the radioactive sample to decay from an initial activity of 1.07 x 105 Bq to an activity of 100 Bq.
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Match these items.
1. effect observed when light from an object in cool air passes through warm air
2. line perpendicular to a surface
3. splitting of light into its component colors angle of incidence
4. alignment of light into a single vibrational direction
5. larger angle as light passes from air to water
6. cause of the sky's color
7. bouncing of light rays reflection
8. bending of light between media
9. ratio of speeds of light
10. inability of light to escape a low-velocity medium due to a large angle of approach refraction
a. scattering
b.dispersion
c.angle of incidence
d.index of refraction
e.mirage
f.reflection
g.normal
h.total inertial reflection
i.polarization
j.refraction
Answer:
1. effect observed when light from an object in cool air passes through warm air
→ h. total internal reflection
2. line perpendicular to a surface
→ g. normal.
3. splitting of light into its component colors angle of incidence
→ b. dispersion.
4. alignment of light into a single vibrational direction
→ i. polarization
5. larger angle as light passes from air to water
→ c. angle of incidence
6. cause of the sky's color
→ f. reflection
7. bouncing of light rays reflection
→ f. reflection
8. bending of light between media
→ j. refraction.
9. ratio of speeds of light
→ d. index of refraction.
10. inability of light to escape a low-velocity medium due to a large angle of approach refraction
→ scattering.
I’ve been struggling with this question, help!
The masses of the two objects MA and MB in the binary system are 4 Mo respectively.
How can the masses of the binary systems be calculated?The masses of binary systems can be calculated using Kepler's laws of planetary motion and observations of the system.
Let's denote the masses of the two objects as MA and MB, where MA is the mass of object A and MB is the mass of object B. We know that the total mass of the binary system is 8 Mo, so:
MA + MB = 8 Mo
We also know that the ratio of the distances between the two objects is 1/3. Let's denote the distance between the two objects as d, so we have:
d(A to B) / d(Binary System) = 1/3
We can simplify this equation by using the fact that the distances between the objects and the binary system add up to the total distance between the objects:
d(A to B) + d(B to binary system) = d(Binary system)
Since we know the ratio of the distances, we can substitute 1/3d for d(B to binary system):
d(A to B) + 1/3d = d(Binary system)
3d(A to B) + d = 3d(Binary system)
Substituting d(A to B) for d(Binary system) - d(B to binary system), we get:
3d(A to B) + d = 3(d(A to B) + d(B to binary system))
2d(A to B) = 2d(B to binary system)
d(A to B) / d(B to binary system) = 1
So the two objects are at the same distance from the binary system center of mass. This means that the masses of the two objects are equal:
MA = MB
Substituting this into the first equation, we get:
2MA = 8 Mo
MA = MB = 4 Mo
Therefore, the mass of each object is 4 Mo.
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What is the frequency of a wave that has a period of 0.5 seconds?
A. 0.5 Hz
B. 2 Hz
C. 200 Hz
D. 20 Hz
Answer:
B. 2 Hz
Explanation:
Given parameters:
Period of the wave = 0.5Hz
Unknown:
Frequency of the wave = ?
Solution:
Frequency is the number of waves that passes through a point.
Period is the time taken for a number of waves to pass through a point.
Period is the inverse of frequency
Frequency = \(\frac{1}{t}\)
t is the period
Frequency = \(\frac{1}{0.5}\) = 2Hz
Answer:2
Explanation:
500000000 in standard form
Answer:
5.0 x 10^8
Explanation:
because u moved it 8 times to it places
Which exerts a greater pressure, a force of 2001
acting on 1.0 m², or the same force acting on 2.0m2
Answer:
the same force acting on 1.0m2
Explanation:
P1 Pressure=force/area =2001/1=2001 N/m2
& while P2 =2001/2=1000.5 N/m2
the pressure is inversely proportional with Area
P=F/A
1. Write a list of characteristics to describe the waves. Describe each characteristic in your own words
so that any person could understand waves. Use images to help with the descriptions.
Tips: Later during this lab, you will relate your own descriptions to scientific ones. It is impþrtant
that you have your own words to begin your leaming, so don't do any research yet. Also,
learning is best when you make your own drawings. Perhaps you can insert images of your
own drawings. if not then use images from Waves on a String that look like your drawings.
Answer:
Explanation:
Maybe start by trying to draw out some transverse waves, longitudinal waves, stationary waves etc. From there you could explain things about each type. For example, particles oscillate in the direction of energy transfer in longitudinal waves or you could include that all electromagnetic waves are examples of transverse waves. Hope this helps you get started :)
Waves are a form of energy transfer through matter or space. Waves can be characters using their amplitude, frequency, wavelength, energy etc.
What is wave?A wave can be defined as the energy transfer or disturbances in air or matter. Sound and light are two types of waves.
There are broadly two types of waves namely longitudinal waves which vibration parallel to the direction of the wave and transverse wave vibrating perpendicular to the direction of wave.
A wave is associated with an amplitude. It is the maximum distance that its molecules are displaced or it is the measure of intensity.
Frequency of a wave is the number crests or troughs passing per unit time. Wavelength is the distance between two consecutive crests or throughs.
Each wave is associated with certain amount of energy which is directly proportional to its frequency. High energy wave can easily penetrate through a body.
Hence, by the terms such as amplitude, frequency, wavelength and energy a wave can be characterized.
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Given vector A with magnitude 2N and vector B magnitude 4N, what are the minimum and maximum magnitudes of A+B?
-- If A and B are pointing in exactly opposite directions, then their sum A+B is the minimum possible value. A+B = 2 N in the same direction as B.
-- If A and B are pointing in exactly the same direction, then their sum A+B is the maximum possible value. A+B = 6 N in that same direction.
Help please*_*
Green light has a wavelength of 5200. Calculate the energy of one photon of green light.
Answer:
3.83×10⁻¹⁹ J
Explanation:
The energy of a photon can be found using the formula: E=hc/λ
h is Planck's Constant which is approximately 6.63×10⁻³⁴c is the speed of light which we'll round to 3.00×10⁸λ is the wavelength of the photon. You typed 5200 but that's not even within the visible light spectrum's wavelength range, so I'm going to assume you meant 520 nm; or 5.20×10⁻⁷ m.Plugging all that info in should give approximately 3.83×10⁻¹⁹ Joules of energy.
(You could get slight variations depending on what you chose to round up or down or not at all.)
The energy of the green light with a wavelength of light of about 5200 is 3.82 ×10⁻¹⁹ Joules.
What is Energy of a wave?Energy of radiation of any light is inversely proportional to the wavelength of the light radiation. That is the reason, when the wavelength increases, energy decreases and when the wavelength decreases, energy of the wave increases.
Energy of light = hc/ wavelength
where, h = 6.626 × 10⁻³⁴J.s (Planck's constant) and c = 3.0 × 10⁸ m/s
E = hc/ λ
E = 6.626 × 10⁻³⁴ × 3.0 × 10⁸/ 5200 × 10⁻¹⁰
E = 19.878 × 10⁻²⁶/ 5200 × 10⁻¹⁰
E = 19.878 × 10⁻²⁶/ 5.2 × 10³ × 10⁻¹⁰
E = 3.82 ×10⁻¹⁹ Joules
Therefore, the energy associated with the wavelength of 5200 of green light is 3.82 ×10⁻¹⁹ Joules.
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An object has a constant acceleration of 2.0 meters
per second2
. The time required for the object to
accelerate from 8.0 meters per second to 28 meters
per second is
Answer: 10s
Explanation:
The time required for the object to accelerate is 10 seconds.
Given the following data:
Acceleration = 2.0 \(m/s^2\)Initial velocity = 8.0 m/s.Final velocity = 28 m/s.To find the time required for the object to accelerate, we would use the first equation of motion:
Mathematically, the second equation of motion is given by the formula;
\(V = U + at\)
Where:
V represents the final velocity. U is the initial velocity. a represents the acceleration.t is the time measured in seconds.Substituting the parameters into the formula, we have;
\(28.0 = 8.0 + 2t\\\\2t = 28.0 - 8.0\\\\2t = 20.0\\\\t = \frac{20.0}{2}\)
Time, t = 10 seconds.
Therefore, the time required for the object to accelerate is 10 seconds.
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Standing at a crosswalk, you hear a frequency of 550 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 475 Hz. Determine the ambulance's speed from these observations. (Take the speed of sound to be 343 m/s.)
What do astronomers refer to as the retrograde motion of the planets? A. apparent movement of the planets eastward in a single night B. apparent movement of the planets westward in a single night C. apparent movement of the planets eastward from night to night D. apparent movement of the planets westward from night to night
Astronomers refer to as retrograde motion of the planets to an apparent movement of the planets westward from night to night.
What is a retrograde motion?The retrograde movement or the retrogradation of the planets is the apparent movement that a planet makes in the opposite direction to the other bodies that make up the system where it is.
This movement is actually an optical illusion that occurs due to the difference in speed between the different planets, looking as if one of them were moving backwards from east to west.
Therefore, we can confirm that the correct answer is option D. apparent movement of the planets westward from night to night.
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A child weighs 326 N. What is the child's mass?
Please help!!
The mass of the child is 33.26 kg.
What is mass?Mass can be defined the quantity of matter a body contained.
The S.I unit of mass is kilogram (kg)
To calculate the mass of the child, we use the formula below.
Formula:
W = mg............. Equation 1Where:
W = Weight of the childm = mass of the childg = acceleration due to gravityMake m the subject of the equation
m = W/g.............. Equation 2From the question,
Given:
W = 326 Ng = 9.8 m/s²Substitute these values into equation 2
m = 326/9.8m = 33.26 kgHence, the mass of the child is 33.26 kg.
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Answer #49 please and thank you
when Force (N) is 10.0 Length (m) is 0.60
when Force (N) is 8.0 Length (m) is 0.40
when Force (N) is 4.0 Length (m) is 0.20
when Force (N) is 4.0 Length (m) is 0.20
when Force (N) is 2.0 Length (m) is 0.10
chatgpt
49. To find the length of a pendulum that has a period of 2.3 seconds on the Moon, where the gravitational acceleration (g) is 1.6 N/kg, we can use the formula:
Period (T) = 2π√(Length (L) / g)
Substituting the given values:
2.3 = 2π√(L / 1.6)
To solve for L, we can rearrange the formula:
L = (2.3 / (2π))^2 * 1.6
L ≈ 0.781 meters (or 78.1 centimeters)
So, the pendulum must be approximately 0.781 meters (or 78.1 centimeters) long to have a period of 2.3 seconds on the Moon.
50. Ranking Task:
To rank the pendulums according to their periods, we need to consider both the length and mass of each pendulum.
Ranking from least to greatest period:
1. A: 10 cm long, mass = 0.25 kg
2. C: 20 cm long, mass = 0.25 kg
3. B: 10 cm long, mass = 0.35 kg
There is a tie between pendulums A and C, as they have the same length but different masses.